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Finding the Fourth Proportional to 1,488.85, 2,234.59 and 1,076.02

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Solution

The fourth proportional to 1,488.85, 2,234.59 and 1,076.02 is: 1,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.85 : 2,234.59 = 1,076.02 : x
  2. Step 2: Convert to fraction form
    1,488.85/2,234.59 = 1,076.02/x
  3. Step 3: Cross multiply
    1,488.85x = 2,234.59 × 1,076.02
  4. Step 4: Simplify right side
    1,488.85x = 2,404,455.26
  5. Step 5: Solve for x
    x = 2,404,455.26/1,488.85
  6. Step 6: Final answer
    x = 1,614.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.